Answer to Question #269095 in Classical Mechanics for joseph

Question

1. A pressure gauge connected to a tank reads 500 kPa at a location where the atmospheric pressure is 94 kPa. Determine the absolute pressure in the tank.

2. Determine the atmospheric pressure at a location where the barometric reading is 735 mmHg. Take the density of mercury to be 13,600 kg/m³.

Answer 1

1.Gage pressure =500kPa

Atmospheric pressure =94kPa

To get absolute pressure ;

$P_{absolute} =P_{atm} +P_{gage}$

$P_{absolute} =500+94$

$P_{absolute} =594kPa$

2.Barometric Reading $h=735mmHg$

Density of Mercury $\rho=13,600Kg/m^3$

Atmospheric pressure;

$P_{atm} =h\rho g$

$P_{atm} =13,600×9.81×0.735$

$P_{atm} =98,060.76N/m^2 (Pa)$

$P_{atm} =98.06kPa$